學術演講

主講者: 張仁煦教授 (國防大學)
講題: The Gould-Hopper Polynomials in the Novikov-Veselov Equation
時間: 2011-05-05 (Thu.)  15:00 - 16:00
地點: 數學所 演講廳(6F) (台大院區)
Abstract: We use the Gould-Hopper (GH) polynomials to investigate the Novikov-Veselov (NV) equation. The root dynamics of the $\sigma$-flow in the NV equation is studied using the GH polynomials and then the Lax pair is found. In particulr, when $N=3,4,5$, one can get the Gold-fish model. The smooth rational solutions of the NV equation are also constructed via the extended Moutard transformation and the GH polynomials. The asymptotic behavior is discussed and then the smooth rational solution of the Tzitzeica equation is obtained.
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